{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 11 ``matplotlib`` 基础 进行可视化"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib as mpl\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "x = np.linspace(0, 10, 100) # [0,10] 等分取100个数"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "y = np.sin(x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x22e80664388>]"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(x, y) "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [],
   "source": [
    "siny = y.copy()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [],
   "source": [
    "cosy = np.cos(x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(x, siny)\n",
    "plt.plot(x, cosy)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(x, siny)\n",
    "plt.plot(x, cosy, color=\"red\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "关于color参数：[https://matplotlib.org/2.0.2/api/colors_api.html](https://matplotlib.org/2.0.2/api/colors_api.html)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(x, siny)\n",
    "plt.plot(x, cosy, color=\"red\", linestyle=\"--\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "关于linestyle参数：[https://matplotlib.org/devdocs/gallery/lines_bars_and_markers/line_styles_reference.html](https://matplotlib.org/devdocs/gallery/lines_bars_and_markers/line_styles_reference.html)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(x, siny)\n",
    "plt.plot(x, cosy, color=\"red\", linestyle=\"--\")\n",
    "plt.xlim(-5, 15) #x轴范围在 [-1,15]\n",
    "plt.ylim(0, 1)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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0bu/RlEhv16s6U3Pm2A10fJyI8FC/WHZlHOXzJdudDserPJIARKS/iGwUkSQR\nGXWSn4uITHT9fLWItPdEu56UlpnDlIVbufSsujSvVcoLZ4rrxhvhvff8pu76nT2bEhYcxKuz/bDa\n4gMPwKWX+kVBPrBX/zUqluOmLo2cDuXUpk2za1s2+/4Msa5Nq3Nuk2q8/ttmjuSW3bsAtxOAiAQD\nbwADgFbAtSLS6oTDBgAxrq9hwFvututpb83dTG5BIff1dnDhTFFCQuDWW/2iLxUgKrIcN3VtxLRV\nO9nkT9UWt2+Ht9+GWrVsOQ4ftzApnUXJ+7i7V1PCw0qpXtWZGD0awsLszCAfd+wuIP1wDlMWbXU6\nHK/xxLu7E5BkjEk2xuQCnwOXnXDMZcBHxvoTqCIidTzQtkfsyjjCJ4u3MeicejSJquh0OEX75htb\nlqDA969Mbj+/CRFhIUzwp5rrzzxjvz/+uLNxFIMxhpdmJVKncnmu7dTA6XBOr04du3PYJ5/A+vVO\nR1OkuEbVOL95FG/P28zhnHynw/EKTySAesCO456nuF4r6TEAiMgwEYkXkfi0tNKpy7E1PZuoiuW4\n15ev/o9XUAAzZ8JnnzkdSZGqRoRxa/fG/JSwm7U7M5wOp2ibN9sqlv/+tx1093FzE9NYtu0A91zQ\nrPSq1bpj5Eg7uP7kk05HUiwP9m3Ogew8PlhQBsub4IODwMaYycaYOGNMXFSUlzewcOnStDq/j+xF\n/WoOLpsvicGD4ayzbKVQP6i5/q/ujakcHuofOy+NH2+72v7zH6cjKZIxhgm/JBJdNZwrO9R3Opzi\niYqyXUDdu/vFbLaz6lehb6taTJ6fXCY3kPdEAkgFjn/3RbteK+kxjir1ap/uCAqyf0RJSfDRR05H\nU6TK4aEMO78Js9fvZcX2A06Hc3rjxsF330Hduk5HUqRf1u1hTWoG9/WOISzE567lTu2BB2D4cL8o\nqge2vEnm0XzeXZDsdCge54l3zVIgRkQai0gYcA0w/YRjpgM3umYDnQtkGGN8f1mgL7vkEujY0SaC\nnBynoynSzV0bUS0izLfHAoyBKlXgwgudjqRIhYX26r9JjQiuOOekvam+LS/PzmhbvtzpSIrUsk4l\nLmpXh/cXbClbRQ7xQAIwxuQD9wAzgfXAVGPMWhG5Q0TucB02A0gGkoB3gLvcbTfgidgiW6+9ZmdW\n+LiIciHc1bMp8zel82eyDxYGW73arvZNSHA6kmL5Yc0uNu7J5P6+zQkJ9qOr/2OOHrV7K/tBVxvA\niD4xHClX2LyuAAAZkElEQVRrRQ7x0BiAMWaGMaa5MaapMeZZ12uTjDGTXI+NMeZu18/bGmPiPdFu\nwOvWzc5V95Nb6aHnNqRmZDkm/JLoezXXx4yBbdvsRjw+Lr+gkFdmJRJbK5KL2/rMZLqSiYy0CWDm\nTFiwwOloitSsZiSXu4oc7i0LRQ5d/PDSQf1NQYGdrvjmm05HUqTyocEMv6AZS7bu5/dN6U6H85el\nS22//4MPQtWqTkdTpG9XpJKcnsWIvs0J8qexqxPdfbdda+En5U2OFTl8/bckp0PxGE0A/i442JaH\nGDMGMn1/sdXVHRtQr0o4L/nSzkuPPw7Vq8N99zkdSZHsTnWbaFvPwZ3qPOVYkcN58/ymyOFVHevz\n2ZLtpBzw4yKHx9EEUBY8/TSkp8MrrzgdSZHCQoK4r08Mq1MymLl2j9PhwKJFthti1CioVMnpaIr0\nxdIdpB484uxOdZ40bBgMHAihPlq/6ATDXUUOJ87x4yKHx9EEUBZ06mQ3Kn/xRdi/3+loimRXXEcw\nYdZG53de6tjRLvy6y/fnJRzJLeC1X5Po1Kga58c4vFOdp5QrBz/+CD17Oh1JsdSpHM71nRvw9fJU\nNqcddjoct2kCKCueftp2AflB6eKQ4CBG9GlO4p7DTF/l8HKQkBC7cXkF318EOGXRVtIyc8rO1f/x\nMjLsHawflDe5u1czyoUE+faU5mLSBFBWtGlja65ffbXTkRTLRW3r0KpOJSbMSiQ334GKm4WFMGAA\nfPpp6bd9Bg4dzWPSvM30aB5Fp8b+UVe/RGbOhBEj/KK8SY2K5fhX98b8uHoXCal+UN7kNDQBlCUj\nRsA55zgdRbEEBQkP97c7L32x1IGa619+CT//7BezTwDe+T2Zg9k+tlOdJw0ZYsubjBkDub6/2Orf\n5zehSoVQxs/c6HQobtEEUNbs3Ak33eQXNdd7No+iU6NqTPw1iezcUqy2mJdnZ/60aQPXXlt67Z6h\ntMwc3p2/hYva1aFttI/tVOcpQUEwdiwkJ8M77zgdTZEqlQ/lzh5NmZeYxmJfXNhYTJoAyqIvv/SL\nUsYiwsj+saRl5vDhwq2l1/CHH8KmTbbsc7DvV9B87ddN5BUUlt2r/2P694fzz7fjWYd9f4D1xi6N\nqBlZjhdm+tCU5hLSBFDW1K37V1/qihVOR1OkuEbV6N2iJpPmbuZgdinc+h89arsZuna1q6h93PZ9\n2fxv8Xau7lifxjUinA7Hu0Tg+edtN+bBg05HU6TwsGDu79OcZdsO8Ms6H5jSfAY0AZRFI0faDbhH\n/WN3Tp/0cP9YMnPyeXNuKXRblS8PU6bAq6/6RQmNCbM2EhIs/rNXhbvOPRd++gmio52OpFiuioum\nSVQEL/y8gfwC/9g+9HiaAMqiypXtCstffrEbcfu4FrUrMaR9NB/+sZUd+0thhWXfvhAX5/123JSQ\nmsG0VTu5tVtjalUq73Q4pWvrVr+YoRUSHMTIC1uwOS2LL5elOB1OiWkCKKvuussW22p14vbMvumB\nfs0Rwbtzq0ePtv9N/KC/1hjDczPWU7VCGHf0bOp0OKVv3Di45Ra/mMxwYetadGhYlZdnJfrdBvKa\nAMqq8uXtH1Ed/6gWWadyOLd2b8x3K1O9M7c6ORkmTIB9+/yi62fuxjQWbt7HvRc0o1J5/yiT4FFj\nxtjyEKNHOx1JkUSEUQNasDczh/f8bNMYTQBl3YoVcOWVcOSI05EU6c6eTakSHsq4nzZ4flbFqFF2\n1e9TT3n2vF6QX1DI2J/W06h6Ba7r3NDpcJxRpw48/LCd0bZokdPRFKljo2r0a1WLt+ZuJi3T9zdo\nOkYTQFl36BB89ZVfFIqrVD6U4RfEsCApnd827vXcif/4w36QPPKIX2z1+NWyFBL3HOaR/i38a6tH\nT3voIahd2373g2670QNbkpNf6FclIgL43RUgevSAyy6zi2z2evBD1Utu6NKQJlERPPPDevI8Nati\n5Ej7wf/gg545nxcdzsnnpVmJdGhYlf5tajsdjrMqVoRnn4V27fxi29PGNSK4sUsjvli6nQ27Dzkd\nTrFoAggEzz9vu4CeeMLpSIoUGhzEowNbkpyexceLtnnmpO++Cx99BBG+P4/+9V+TSMvM4YmLW5W9\ngm9n4tZb4a237JiWH7i3dzMiy4fyzA/r/WJxmFsJQESqicgsEdnk+n7S7ZREZKuIrBGRlSKi20GW\ntthYu/vS5MmwcqXT0RTpghY1OS+mBq/O2cQBdzbhLnTdQbRsCb17eyY4L9qansX7C7YwuH00Z9Wv\n4nQ4vmXRIpvEfVyVCmHc19sL3Zhe4u4dwChgjjEmBpjjen4qvYwxZxtjfH8Cdln05JP2TqBFC6cj\nKZKI8NhFrcg8mscrs93oTx0zxg6A55dinSE3PDtjPaHBwiP9y3jJhzPx0ktw552Q6nD58GI41o35\n1PfryMn37Wmh7iaAy4AprsdTgMvdPJ/ylipV7KwKP7mVjq0dyfWdG/Lxn9tYt/MM+lM3b4bx4+2G\nIyEhng/QwxZsSmfWuj3c1asZNQNt0VdxjB9v9wrwg9XtocFBPHlJa7buy+bd+VucDue03E0AtYwx\nu1yPdwOn2qTUALNFZJmIDDvdCUVkmIjEi0h8Wlqam+Gpf5g9G7p184tiWw/1i6VKhTCemJZAYUl3\nDhsxws4j94MNcnLzCxkzPYH61cL5V/fGTofjmxo3trOBPvkEFixwOpoind88iv6ta/P6r0nsPOi7\nU7CLTAAiMltEEk7yddnxxxk74nGqv9LuxpizgQHA3SJy/qnaM8ZMNsbEGWPioqKiSvK7qOKoUAEW\nLrQVF31c5QqhjOrfgvhtB/hmRQlu/WfMgO+/t4PefjDt8535yWxOy+KpS9tQPtT3q5M6ZvRoaNDA\ndgXl5TkdTZEeu7glhcbw7I/rnQ7llIpMAMaYPsaYNif5mgbsEZE6AK7vJx31MMakur7vBb4FOnnu\nV1Al0rWrnVkxYQKsWeN0NEUa0iGacxpUYdxP68k4Uow/emPsYq/YWLjvPu8H6KYd+7N57ddNXNi6\nFr1a1HQ6HN8WEQFvvglDhzodSbFEV63AXT2b8eOaXSzcnO50OCflbhfQdOAm1+ObgGknHiAiESIS\neewx0A9IcLNd5Y4XXrBjArff/tdMGR8VFCQ8fVkb9mflMn7mhqL/gQj88ANMnQphYd4P0A3GGJ6c\nvpYgEcZc0trpcPzDRRfZBX2h/lEe4/YeTRg1oAXn1D/pBEnHuZsAxgF9RWQT0Mf1HBGpKyIzXMfU\nAhaIyCpgCfCjMeZnN9tV7qheHV580U6tmz7d6WiK1KZeZW7u2phP/tzO0q37T33g3r12oLBGDbt4\nyMfNXLuHORv2cn+fGOpWCXc6HP/yzTf2AsbH59qXDw3mjh5NCQ/zza498eXFCnFxcSY+XpcNeIUx\ntu76gAF+URwtKyeffi//TrnQIGbce94/+8oLCuzgdo0a9g7Ax2Vk59Hn5XlUjwjj++HdCQ3WNZkl\nMn68XeH9xRdw1VVOR+NTRGRZcafb67suUInAwIH2++7dPn8lFVEuhLGD2pKclsUbvyX984A33oDF\ni+G660o/uDPw1A/r2J+Vy4tXnqUf/mdixAjo2NEucNTZgmdM33mBbtUqiInxi803zm8exaD29Xhr\n7mbW7jyuZHRiop0fPmCAX2zy/tvGvXy9PIU7ezSlTb0yusm7t4WEwPvvQ0YGDB/udDR+SxNAoGvT\nxvaXDx8OO3c6HU2RHr+oFVUjwhjxxUqO5hXYVb433mgXuL37rs93Zx06msd/vllDTM2KDO/dzOlw\n/FubNna19xdf+MXaAF+kCSDQBQfDBx/Yaov//rfPdwVVjQjjhSHtSNxzmPEzN8KuXXDggO0C8vE5\n/8YYHvs2gb2ZObwwpB3lQnxzYNCvjBwJ06bZ8R9VYpoAFDRvbncPmzEDXn/d6WiK1Cu2Jjd2ach7\nC7bwR044rF4N11zjdFhF+mZ5KtNX7eS+3jGc08A3pwX6ndBQuPRSe+eXnOzz05p9jSYAZQ0fDhdf\nbP+I/MDobvV4Nv4z/vPpEvbni893/WxNz+KJaQl0alyNu3tp14/HJSbaLqEXX3Q6Er+iCUBZInZu\n9csvOx1J0Ywh/K7buW7u50Rt2ch9n6+goKS1gkpRTn4B932+guAg4ZWrzyY4yLeTlV+KibGLxB59\nFJYscToav6EJQP3l2OrKZcvsaktfHQ9480348kvk2WcZdOdg5m9K59U5m5yO6pSenL6OVSkZvDCk\nnS748hYRu99F3bowZIhf7H7nCzQBqH/65RdbLsIXK2kuXAgPPGDXMDz8MNd2qs+QDtFMnLOJ3zb4\n3h/9p4u38dmS7dzZsyn929RxOpyyrWpVexeblmb3gfCDgnFO0wSg/mnUKDuoOnq0b5WKKCiAW26x\nFSE/+giCghARnrm8DS3rVOK+z1ewaU+m01H+v/it+3ly+lp6xkbxUD/d5KVUdOgA770HZ53ldCR+\nQUtBqJM7cgTOPx82bLBX3W3bOh2RtWEDBAXZmUvH2bE/m0FvLSQsOIhv7upKLYc3VdmSnsWVkxYS\nWT6U7+7uRuVw/yheVuZkZ9sS6AFES0Eo94WH2/nVlSrBK684G8vRo3alsjF2S8sTPvwB6lerwAc3\nd+RAdi63fLCUwznObQO5O+MoQ99dTKGBd2+K0w9/pyQn2/2g/WCVu1M0AahTq1sX5s+Ht95yLoac\nHBg82NaAX7TotIe2qVeZN69vz8Y9mQz7KJ7s3NJPAgezc7nx/cUczM5lyi2daBpVsdRjUC5160KT\nJnDTTX5RINAJmgDU6TVpYuvqp6fD1VfblbelJSfHzuiYMQPefttuZlOEnrE1efHKdvyZvI+bS/lO\nYN/hHG54bwlb07N556Y42kZrnR9HlS9v72LPPtsOCv/0U+m2n+D7255oAlDFs2UL/Pij/RDeUIyN\nWdyVmQmDBtkrt0mTYNhpt5L+myvOieaVa85h2bYD3PDe4uLtJOamlAPZXDlpEYl7Mpl0Q3u6Nq3h\n9TZVMVSqZD/4W7a0K4ZnzSqddsePtzW2Zs8unfbOkCYAVTwdO8LcuXZQrWtX+P1377YXH2//eN5+\n2278UUKXnlWXN65rT0JqBoPe/IPNaYe9EKS1ftchhry1iPTDOXxyW2cuaFHLa22pMxAVZd+7d98N\nXbp4t62cHPt+HTnS3jH37Ond9tykCUAVX1wc/Pkn1KoFfft6p191yxb7vVcv2Ly5RFf+J+rfpjZT\nbu3Egew8Lnv9D35Zu9tDQVrGGP63eDuXv/EHhcYw9Y4udGxUzaNtKA85NpmhYkV7d3n//XDwoGfb\n2LXLvm8nT7ZTqT/5xJat9mGaAFTJNG4Mf/xh+1Q7dvTcebOy7CbuMTF/lfaNjnb7tF2b1uD74d1p\nEhXBsI+X8dh3a8jIdr9L6EBWLvd8toL/fLuGTo2r8eO959GidiW3z6tKwfz5tnrs2Wd7toz0vHl2\nf42pU2HsWFtp18e5lQBE5EoRWSsihSJyynmnItJfRDaKSJKIjHKnTeUDqlWzVze1atnFWZdeCs88\nA4cOlfxcBQX2D6ZtW5g4Ee680/5helC9KuFMvb0Lt3RrxP8Wb6f3hLl8vSzljOoHHc0r4O15mzl/\n/G/8nLCbkf1jmXJLJ6Iiy3k0ZuVFAwfaD/6gIDjvPNtVs3nzmZ0rIQG+/to+vvpqWLPGXhz5CbcW\ngolIS6AQeBt4yBjzj1VbIhIMJAJ9gRRgKXCtMWZdUefXhWB+ID0dbr0Vvv/eJoZ777V7tLZoUXSF\nTmNsHfdFi+zxkyfbP0gvSkjN4LHvEli54yD1qoQz9NyGXN2xPtUiwk7777amZ/HdylSmLt3Bzoyj\n9IqNYvTAljSvFenVeJUXZWba6qEvvgh9+tgZQ2AvSk539Z6fbweWJ06041TR0TaBhJ3+PVRaSrIQ\nzCMrgUVkLqdOAF2AJ40xF7qejwYwxowt6ryaAPzI0qXw5JN2yibYGUMDB8LatbB8ua3Tnp5udx1b\nvtzOxggJgQ8/hMhIuPzyUrtlLiw0zFy7m48WbWNR8j6CBGJrV6JDwyrE1IykfGgQYSFBpGXmkLjn\nMOt3HWLtzkOIQJcm1bm7VzO6NdNZPmXG7t125XvjxrB+ve3H79bNzhxq5ird3b8/1K5t36/33GO7\nLOvVg7vusuNUNXzn/VCSBFAaIxT1gB3HPU8BOp/qYBEZBgwDaNCggXcjU57TsaP90E9NtVdSPXrY\n17//3tYUOiY0FDp3tgW76tSBm28u9VCDgoQBbeswoG0dEvdk8uPqXSzffoDvVuz8x7qBqMhyxNSs\nyCP9W3DZ2XW1mmdZVLv2X48LCux7d+VK+z4uKLCvz5ljj2vRwr5ne/e2+2eE+vcq7yLvAERkNlD7\nJD961BgzzXXMXE59BzAE6G+Muc31/AagszHmnqKC0zuAMuDIEdi+3V7t16hhZ2P46OYtBYWGA9m5\n5OYXkpNfSNUKoVSp4Bu39coBubl/vXdr17YLy/yAR+8AjDF93IwnFah/3PNo12sqEISHQ6x/VMIM\nDhJqVNTBXOUSFvZXF1AZVRrTQJcCMSLSWETCgGsAH6oxrJRSgcndaaBXiEgK0AX4UURmul6vKyIz\nAIwx+cA9wExgPTDVGLPWvbCVUkq5y61BYGPMt8C3J3l9JzDwuOczgBnutKWUUsqzdCWwUkoFKE0A\nSikVoDQBKKVUgNIEoJRSAUoTgFJKBShNAEopFaA0ASilVIDSBKCUUgFKE4BSSgUoTQBKKRWgNAEo\npVSA0gSglFIBShOAUkoFKE0ASikVoDQBKKVUgNIEoJRSAUoTgFJKBShNAEopFaDc3RP4ShFZKyKF\nIhJ3muO2isgaEVkpIvHutKmUUsoz3NoTGEgABgFvF+PYXsaYdDfbU0op5SHubgq/HkBEPBONUkqp\nUlNaYwAGmC0iy0RkWCm1qZRS6jSKvAMQkdlA7ZP86FFjzLRittPdGJMqIjWBWSKywRjz+ynaGwYM\nA2jQoEExT6+UUqqkikwAxpg+7jZijEl1fd8rIt8CnYCTJgBjzGRgMkBcXJxxt22llFIn5/UuIBGJ\nEJHIY4+BftjBY6WUUg5ydxroFSKSAnQBfhSRma7X64rIDNdhtYAFIrIKWAL8aIz52Z12lVJKuc/d\nWUDfAt+e5PWdwEDX42TgLHfaUUop5Xm6ElgppQKUJgCllApQmgCUUipAaQJQSqkApQlAKaUClCYA\npZQKUJoAlFIqQGkCUEqpAKUJQCmlApQmAKWUClCaAJRSKkBpAlBKqQClCUAppQKUJgCllApQmgCU\nUipAaQJQSqkApQlAKaUClCYApZQKUJoAlFIqQLm7Kfx4EdkgIqtF5FsRqXKK4/qLyEYRSRKRUe60\nqZRSyjPcvQOYBbQxxrQDEoHRJx4gIsHAG8AAoBVwrYi0crNdpZRSbnIrARhjfjHG5Lue/glEn+Sw\nTkCSMSbZGJMLfA5c5k67Siml3BfiwXPdCnxxktfrATuOe54CdD7VSURkGDDM9fSwiGz0WISnVwNI\nL6W2nKC/n3/T389/lfbv1rC4BxaZAERkNlD7JD961BgzzXXMo0A+8GlxGz4VY8xkYLK75ykpEYk3\nxsSVdrulRX8//6a/n//y5d+tyARgjOlzup+LyM3AxUBvY4w5ySGpQP3jnke7XlNKKeUgd2cB9QdG\nApcaY7JPcdhSIEZEGotIGHANMN2ddpVSSrnP3VlArwORwCwRWSkikwBEpK6IzABwDRLfA8wE1gNT\njTFr3WzXG0q926mU6e/n3/T3818++7vJyXttlFJKlXW6ElgppQKUJgCllApQmgAo26UqRKS+iPwm\nIutEZK2I3Od0TJ4mIsEiskJEfnA6Fk8TkSoi8pWr5Mp6EenidEyeJCIjXO/LBBH5TETKOx2TO0Tk\nfRHZKyIJx71WTURmicgm1/eqTsZ4vIBPAAFQqiIfeNAY0wo4F7i7jP1+APdhJxiURa8CPxtjWgBn\nUYZ+TxGpB9wLxBlj2gDB2FmC/uxDoP8Jr40C5hhjYoA5ruc+IeATAGW8VIUxZpcxZrnrcSb2A6Se\ns1F5johEAxcB7zodi6eJSGXgfOA9AGNMrjHmoLNReVwIEC4iIUAFYKfD8bjFGPM7sP+Ely8Dprge\nTwEuL9WgTkMTwMlLVZSZD8jjiUgj4BxgsbOReNQr2LUohU4H4gWNgTTgA1cX17siEuF0UJ5ijEkF\nXgS2A7uADGPML85G5RW1jDG7XI93A7WcDOZ4mgAChIhUBL4G7jfGHHI6Hk8QkYuBvcaYZU7H4iUh\nQHvgLWPMOUAWPtR94C5XX/hl2ERXF4gQkaHORuVdrmoJPjP3XhNAAJSqEJFQ7If/p8aYb5yOx4O6\nAZeKyFZs190FIvKJsyF5VAqQYow5dsf2FTYhlBV9gC3GmDRjTB7wDdDV4Zi8YY+I1AFwfd/rcDz/\nTxNAGS9VISKC7UNeb4yZ4HQ8nmSMGW2MiTbGNML+f/vVGFNmriCNMbuBHSIS63qpN7DOwZA8bTtw\nrohUcL1Pe1OGBrmPMx24yfX4JmCag7H8jSfLQfslY0y+iBwrVREMvO+jpSrOVDfgBmCNiKx0vfYf\nY8wMB2NSxTcc+NR1cZIM3OJwPB5jjFksIl8By7Gz1Vbgw2UTikNEPgN6AjVEJAUYA4wDporIv4Bt\nwFXORfh3WgpCKaUClHYBKaVUgNIEoJRSAUoTgFJKBShNAEopFaA0ASilVIDSBKCUUgFKE4BSSgWo\n/wPbJTpLbNq/zgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x111ff80f0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(x, siny)\n",
    "plt.plot(x, cosy, color=\"red\", linestyle=\"--\")\n",
    "plt.axis([-1, 11, -2, 2]) # 同时对x y 轴范围 限定\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(x, siny)\n",
    "plt.plot(x, cosy, color=\"red\", linestyle=\"--\")\n",
    "plt.xlabel(\"x axis\") # x轴标签\n",
    "plt.ylabel(\"y value\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(x, siny, label=\"sin(x)\") # 图示\n",
    "plt.plot(x, cosy, color=\"red\", linestyle=\"--\", label=\"cos(x)\")\n",
    "plt.xlabel(\"x axis\")\n",
    "plt.ylabel(\"y value\")\n",
    "plt.legend() # 图示显示\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(x, siny, label=\"sin(x)\")\n",
    "plt.plot(x, cosy, color=\"red\", linestyle=\"--\", label=\"cos(x)\")\n",
    "plt.xlabel(\"x axis\")\n",
    "plt.ylabel(\"y value\")\n",
    "plt.legend()\n",
    "plt.title(\"Welcome to matplotlib world!\") # 标题\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Scatter Plot 散点图"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 0.        ,  0.1010101 ,  0.2020202 ,  0.3030303 ,  0.4040404 ,\n",
       "        0.50505051,  0.60606061,  0.70707071,  0.80808081,  0.90909091,\n",
       "        1.01010101,  1.11111111,  1.21212121,  1.31313131,  1.41414141,\n",
       "        1.51515152,  1.61616162,  1.71717172,  1.81818182,  1.91919192,\n",
       "        2.02020202,  2.12121212,  2.22222222,  2.32323232,  2.42424242,\n",
       "        2.52525253,  2.62626263,  2.72727273,  2.82828283,  2.92929293,\n",
       "        3.03030303,  3.13131313,  3.23232323,  3.33333333,  3.43434343,\n",
       "        3.53535354,  3.63636364,  3.73737374,  3.83838384,  3.93939394,\n",
       "        4.04040404,  4.14141414,  4.24242424,  4.34343434,  4.44444444,\n",
       "        4.54545455,  4.64646465,  4.74747475,  4.84848485,  4.94949495,\n",
       "        5.05050505,  5.15151515,  5.25252525,  5.35353535,  5.45454545,\n",
       "        5.55555556,  5.65656566,  5.75757576,  5.85858586,  5.95959596,\n",
       "        6.06060606,  6.16161616,  6.26262626,  6.36363636,  6.46464646,\n",
       "        6.56565657,  6.66666667,  6.76767677,  6.86868687,  6.96969697,\n",
       "        7.07070707,  7.17171717,  7.27272727,  7.37373737,  7.47474747,\n",
       "        7.57575758,  7.67676768,  7.77777778,  7.87878788,  7.97979798,\n",
       "        8.08080808,  8.18181818,  8.28282828,  8.38383838,  8.48484848,\n",
       "        8.58585859,  8.68686869,  8.78787879,  8.88888889,  8.98989899,\n",
       "        9.09090909,  9.19191919,  9.29292929,  9.39393939,  9.49494949,\n",
       "        9.5959596 ,  9.6969697 ,  9.7979798 ,  9.8989899 , 10.        ])"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "x"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(x, siny) # 就是点之间不连线\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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4TSMt365A6fUAFn1bQCh+iDsfIWWlPh3K+0ehASCnkzUoDh8uJx3UR+E3jaSC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\niKfQABBCiKfQABBCiKf8f7ZeU5p0STJ2AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11230bb38>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(x, siny)\n",
    "plt.scatter(x, cosy, color=\"red\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = np.random.normal(0, 1, 10000) # 标准正态分布\n",
    "y = np.random.normal(0, 1, 10000)\n",
    "\n",
    "plt.scatter(x, y, alpha=0.01) # 透明度\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
